If force (F), length (L) and time (T) are assumed to be the fundamental units, then the dimensional formula of the mass will be

Question

If force (F), length (L) and time (T) are assumed to be the fundamental units, then the dimensional formula of the mass will be (A)  [FL-1T2] (B)  [FL-1T-2] (C)  [FL-1T-1] (D)  [FL2T2]

Tardigrade Admin · Accepted Answer

By Newton's second law Force (F)= mass (M) × acceleration ∴ Dimensions of [F]=[M L T-2] ⇒ [M]=[F L-1 T2]

Q. If force $(F)$ , length $(L)$ and time $(T)$ are assumed to be the fundamental units, then the dimensional formula of the mass will be

$[F L^{- 1} T^{2}]$

$[F L^{- 1} T^{- 2}]$

$[F L^{- 1} T^{- 1}]$

$[F L^{2} T^{2}]$

By Newton's second law
Force $(F) =$ mass (M) $\times$ acceleration
$∴$ Dimensions of $[F] = [M L T^{- 2}]$
$\Rightarrow [M] = [F L^{- 1} T^{2}]$

Q. If force (F), length (L) and time (T) are assumed to be the fundamental units, then the dimensional formula of the mass will be

[FL−1T2]

[FL−1T−2]

[FL−1T−1]

[FL2T2]